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首页> 外文期刊>Finite elements in analysis & design >Stress, strain and dissipation accurate 3-field formulation for inelastic isochoric deformation
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Stress, strain and dissipation accurate 3-field formulation for inelastic isochoric deformation

机译：压力，应变和耗散精确的3场配方，用于非弹性等离子变形

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摘要

This work exploits the high accuracy of the mixed 3-field u/e/p formulation to address materially non-linear inelastic problems including isochoric deformations. Motivated by the strain-driven format of several constitutive equations used in FEA, the mixed u/s/p formulation is reinterpreted, selecting the deviatoric strains as primary variables, together with the displacements and the pressure field. The mixed formulation is complemented with several constitutive equations suitable for Solid and Fluid Mechanics. The convergence rate upon mesh refinement, as well as the enhanced accuracy of the stress and strain fields is proven in several non-linear problems with isochoric deformation in both the elastic and the inelastic ranges. 2D and 3D problems involving different FE discretizations are solved with J2-plasticity, J2-damage and Bingham models, all of them including strain localization. Numerical results show that perfectly convergent and mesh independent results are achieved in terms of peak load, failure mechanism, stress release and energy dissipation. Revealing comparison with the u/p formulation is also addressed.
机译：这项工作利用了混合的3场U / E / P配方的高精度，以解决具有同义变形的物质非线性内弹性问题。通过FEA中使用的若干组成型方程的应变驱动格式的动机，重新诠释混合的U / S / P配方，选择偏离引起的菌株作为主要变量，以及位移和压力场。混合配方互补，适用于固体和流体力学的若干组成方程。在网格细化的收敛速率以及应力和应变场的增强精度被证明在具有弹性和非弹性范围内的同位素变形的几个非线性问题中。涉及不同的Fe离散化的2D和3D问题通过J2-可塑性，J2损坏和Bingham型号来解决，所有这些都包括应变本地化。数值结果表明，在峰值负荷，故障机构，应力释放和能量耗散方面实现了完美的收敛和网状独立结果。还解决了与U / P配方的比较。

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